In the article a simpler and more generalized perspective of approximative multiretracts is presented (see [1]). This perspective allows for new results and applications. In order to reach it, a class of approximative relative retracts will be de ned with the use of single-valued...
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Research Article10.9734/BJMCS/2016/22694
In this article the properties and applications of generalized Vietoris mappings are presented. The important application of generalized Vietoris mappings is the application to the coincidence theory (see Theorem 4.4).
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Research Article10.9734/BJMCS/2015/16103
In this article, with the help of three axioms (Definition 3.1), the notion of abstract morphisms is introduced (see [1,2]). It will be proven that Hausdorff topological spaces together with abstract morphisms create a category on which the functor of ÄŒech homology is extended.
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Research Article10.9734/BJMCS/2014/12891